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Finding the Fourth Proportional to 9,419.90, 12,992.42 and 6,431

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Solution

The fourth proportional to 9,419.90, 12,992.42 and 6,431 is: 8,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.90 : 12,992.42 = 6,431 : x
  2. Step 2: Convert to fraction form
    9,419.90/12,992.42 = 6,431/x
  3. Step 3: Cross multiply
    9,419.90x = 12,992.42 × 6,431
  4. Step 4: Simplify right side
    9,419.90x = 83,554,253.02
  5. Step 5: Solve for x
    x = 83,554,253.02/9,419.90
  6. Step 6: Final answer
    x = 8,869.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.